{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "\n# Swiss Roll reduction with LLE\n\n\nAn illustration of Swiss Roll reduction\nwith locally linear embedding\n\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "# Author: Fabian Pedregosa -- <fabian.pedregosa@inria.fr>\n# License: BSD 3 clause (C) INRIA 2011\n\nprint(__doc__)\n\nimport matplotlib.pyplot as plt\n\n# This import is needed to modify the way figure behaves\nfrom mpl_toolkits.mplot3d import Axes3D\nAxes3D\n\n#----------------------------------------------------------------------\n# Locally linear embedding of the swiss roll\n\nfrom sklearn import manifold, datasets\nX, color = datasets.make_swiss_roll(n_samples=1500)\n\nprint(\"Computing LLE embedding\")\nX_r, err = manifold.locally_linear_embedding(X, n_neighbors=12,\n                                             n_components=2)\nprint(\"Done. Reconstruction error: %g\" % err)\n\n#----------------------------------------------------------------------\n# Plot result\n\nfig = plt.figure()\n\nax = fig.add_subplot(211, projection='3d')\nax.scatter(X[:, 0], X[:, 1], X[:, 2], c=color, cmap=plt.cm.Spectral)\n\nax.set_title(\"Original data\")\nax = fig.add_subplot(212)\nax.scatter(X_r[:, 0], X_r[:, 1], c=color, cmap=plt.cm.Spectral)\nplt.axis('tight')\nplt.xticks([]), plt.yticks([])\nplt.title('Projected data')\nplt.show()"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.6.9"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}